Počet záznamů: 1
Convergent numerical method for the Navier-Stokes-Fourier system: a stabilized scheme
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SYSNO ASEP 0509632 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Convergent numerical method for the Navier-Stokes-Fourier system: a stabilized scheme Tvůrce(i) Hošek, Radim (MU-W) SAI, RID
She, Bangwei (MU-W) SAI, RID, ORCIDZdroj.dok. IMA Journal of Numerical Analysis. - : Oxford University Press - ISSN 0272-4979
Roč. 39, č. 4 (2019), s. 2045-2068Poč.str. 24 s. Jazyk dok. eng - angličtina Země vyd. GB - Velká Británie Klíč. slova Navier-Stokes-Fourier system Vědní obor RIV BA - Obecná matematika Obor OECD Pure mathematics Způsob publikování Omezený přístup Institucionální podpora MU-W - RVO:67985840 UT WOS 000491253300015 EID SCOPUS 85074151949 DOI 10.1093/imanum/dry057 Anotace We propose a combined finite volume--finite element method for the compressible Navier–Stokes–Fourier system. A finite volume approximation is used for the density and energy equations while a finite element discretization based on the nonconforming Crouzeix–Raviart element is applied to the momentum equation. We show the stability, the consistency and finally the convergence of the scheme (up to a subsequence) toward a suitable weak solution. We are interested in the diffusive term in the form of divergence of the symmetric velocity gradient instead of the classical Laplace form appearing in the momentum equation. As a consequence, there emerges the need to add a stabilization term that substitutes the role of Korn’s inequality which does not hold in the Crouzeix–Raviart element space. The present work is a continuation of Feireisl, E., Hošek, R. & Michálek, M. (2016, A convergent numerical method for the Navier–Stokes–Fourier system. IMA J. Numer. Anal., 36, 1477--1535), where a similar scheme is studied for the case of classical Laplace diffusion. We compare the two schemes and point out that the discretization of the energy diffusion terms in the reference scheme is not compatible with the model. Finally, we provide several numerical experiments for both schemes to demonstrate the numerical convergence, positivity of the discrete density, as well as the difference between the schemes. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2020 Elektronická adresa http://dx.doi.org/10.1093/imanum/dry057
Počet záznamů: 1